MATHEMATICS HIGH SCHOOL

Event B is dependent on event A, and event A occurs before event B. Which expression is equal to the probability of event A?

Answers

Answer 1

Answer:

An event is the result of a random experiment or a group of shared results.
It could be defined as every subset of a sample space because the sample space is a collection of all possible results of a random experiment.

When the event B is dependenting on event A,

$\to \bold{P(B \cap A) \neq P(B)* P(A)}\n\n$

When the event A comes before event B. So, the probability of B given A:

$\to \bold{P(B|A)=(P(B\cap A ))/(P(A))}$

Solving the value for the P(A):

$\to \bold{P(A)=(P(B\cap A))/(P(B| A))}$

Therefore, the " $\bold{P(A)=(P(B\cap A))/(P(B| A))}$ " is correct.

Learn more:

brainly.com/question/11234923

Answer 2

Answer: $P(B|A)=(P(B\cap A))/(P(A))$
Therefore:
$P(A)=(P(B\cap A))/(P(B|A))$

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Which of the following choices is the common difference between the terms of this arithmetic sequence4x + 7y, 8x+ 2y ,12x -3y,16x-8y,20x-13y, ... a. 5x+4y b. 4x-5y c. -5x-4y d. 5x -4y e. 4x +5y

Expand (3x-4y)^3 please answer thank you

Answers

27x^3-108x^2y+144xy^2-64y^3

Answer:

Step-by-step explanation:

Solve for x. 1/36=6^(x-3)

Answers

$(1)/(36)=6^(x-3)\n6^(-2)=6^(x-3)\n-2=x-3\nx=1$

Angle A is in standard position and terminates in quadrant IV. If sec(A)=4/3, complete the steps to find cot(A).Use the identity_____ to find the value of _____(A).

Thank you in advance !!
Cheers, Z

Answers

Answer:

Part A) Use the identity $tan^2(A)+1=sec^2(A)$

Part B) $cot(A)=-(3√(7))/(7)$

Step-by-step explanation:

we know that

$tan^2(A)+1=sec^2(A)$ ----> by trigonometric identity

we have

$sec(A)=(4)/(3)$

substitute in the expression above

$tan^2(A)+1=((4)/(3))^2$

solve for tan(A)

$tan^2(A)+1=(16)/(9)$

$tan^2(A)=(16)/(9)-1$

$tan^2(A)=(7)/(9)$

square root both sides

$tan(A)=\pm(√(7))/(3)$

Remember that Angle A terminates in quadrant IV

The value of tan(A) is negative

$tan(A)=-(√(7))/(3)$

Find the value of cot(A)

we know that

$cot(A)=(1)/(tan(A))$ ----> is the reciprocal

therefore

$cot(A)=-(3)/(√(7))$

simplify

$cot(A)=-(3√(7))/(7)$

Answer:

First answer is A.

Second answer is: tan.

Third is answer C. sqrt7/3

Fourth answer is A. -3sqrt7/7

Step-by-step explanation:

Find the value of x in the equation √ x + 5 = √ x + 45.

Answers

√x+5 = √x+45

(√x+5)^2 = x+45
x+25+10√x = x+45
25+10√x = 45
10√x = 20
√x=2
x=4

What is the length of segment ol?

Answers

Answer:

The length of segment of OL is 22.4 cm

Option 3 is correct

Step-by-step explanation:

In ΔMNL, NM||PO

If two sides are parallel then their corresponding sides are in ratio.

Basic Proportionality Theorem: If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in same ratio.

Therefore,

$(OL)/(OM)=(PL)/(NP)$

$(x+4)/(8)=(14)/(5)$

$5(x+4)=14\cdot 8$

$5x+20=112$

$5x=92$

$x=18.4$

OL = x+4

OL = 18.4 + 4 = 22.4 cm

Hence, The length of segment of OL is 22.4 cm

Ok, so to do this problem you have to set up a proportion. You are given x+4, 14, 8, and 5. The proportion is as follows:

X+4 8
----- = ---- Now cross multiply to get 5x+20=112. 112-20= 92, and
14 5 92/5= 18.4. Your answer is A, 18.4 cm.

Hope this helps! :)

Which ordered pair is a solution of the equation y = 5x? (–2, 10) (–5, 25) (–3, 15) (–2, –10)

Answers

the answer is (-2,-10) you just need to plug them in.

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